Two bodies of mass 10 ,kg and 5 ,kg moving in concentric orbits of radii R and r such that their per

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3-2.Motion in Plane

easy

Two bodies of mass $10 \,kg$ and $5 \,kg$ moving in concentric orbits of radii $R$ and $r$ such that their periods are the same. Then the ratio between their centripetal acceleration is

A$R/r$

B$r/R$

C${R^2}/{r^2}$

D${r^2}/{R^2}$

Solution

(a)$\frac{{{a_R}}}{{{a_r}}} = \frac{{\omega _R^2 \times R}}{{\omega _r^2 \times r}} = \frac{{T_r^2}}{{T_R^2}} \times \frac{R}{r} = \frac{R}{r}$ $[As\, T_r = T_R]$

Standard 11

Physics

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hard

Two bodies of mass $10 \,kg$ and $5 \,kg$ moving in concentric orbits of radii $R$ and $r$ such that their periods are the same. Then the ratio between their centripetal acceleration is

Solution

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